Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 5 - Logarithmic Functions - 5.1 Logarithms and Their Properties - Exercises and Problems for Section 5.1 - Skill Refresher - Page 193: S2

Answer

$t=-2$

Work Step by Step

For negative exponents of $10$, each value corresponds to moving the decimal point back $1$ spot. For example, $10^0=1$, while $10^{-1}=0.1$ and $10^{-2}=0.01$. Therefore, $t=-2$.
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